I think that none of the banks will accept btc. They control the money, with btc can't do that, and this is something they try to avoid. And if this happens one day , this day will be not far soon.
Some banks are already accepting bitcoin and I'm sure there will be more of them in the future. I personally don't think there is a kind of conspiracy against bitcoin. People who run banks are businessmen in the first place, so when they see something is profitable for their business they accept it.
I don't know which banks and where Bitcoin is accepted. In my country banks are not accepting Bitcoin. I heard that Japan allowed Bitcoin is a legal currency and their people can do business with Bitcoin. So I think in Japan banks may be started to accept Bitcoin. I am not sure it's just my opinion. Becasue the govt is already accepted BTC means Banks also accept right.
A Singaporean bank WB21 is accepting bitcoin. Here's an article on this:
https://www.entrepreneur.com/article/278501Also Ukraine’s largest bank PrivatBank started accepting BTC more than a year ago:
http://www.newsbtc.com/2015/12/06/ukraines-privatbank-includes-bitcoin-support-for-e-commerce-merchants/ I'm sure there are more examples but of course bitcoin unfortunately is not accepted by most banks in the world.
These banks are not accepting bitcoins in the way people here think they should
They just provide currency exchange operations for merchants and their clients (like what many exchangers in the Internet already do), but they are nowhere near accepting bitcoins in the way web wallets do, for example. That is, you can't open a deposit account (or checking account, for that matter) in such a bank and keep the coins there. Until then, I guess, we can't really claim that regular banks started to accept Bitcoin. Here's an interesting excerpt from the link above (emphasis added):
We are offering instant account opening for Private and Business clients from 180 countries. The problem some of our clients face is to make deposits if we don't maintain a local account in their country. By accepting Bitcoin, our customers can instantly transfer funds to their WB21 account from any country in the world. As soon as they send Bitcoin to our address, we credit the value in the currency the customer has selected to their checking account
This is still a far cry from Bitcoin deposits in the true sense of the word